Physical Foundations of Continuum Mechanics
eBook - PDF

Physical Foundations of Continuum Mechanics

  1. 440 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Physical Foundations of Continuum Mechanics

About this book

Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time. Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field.

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Information

Publisher
Cambridge University Press
Year
2012
Print ISBN
9780521765589
eBook ISBN
9781139785785
Topic
Physical Sciences
Subtopic
Fluid Mechanics

Table of contents

  1. Cover
  2. PHYSICAL FOUNDATIONS OF CONTINUUM MECHANICS
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. 1 Introduction
  9. 2 Some Elements of Continuum Mechanics
  10. 3 Motivation for Seeking a Molecular Scale-Dependent Perspective on Continuum Modelling
  11. 4 Spatial Localisation, Mass Density, and Boundaries
  12. 5 Motions, Material Points, and Linear Momentum Balance
  13. 6 Balance of Energy
  14. 7 Fine-Scale Considerations: Moments, Couple Stress, Inhomogeneity, and Energetics
  15. 8 Time Averaging, and Systems Changing Material Content
  16. 9 Elements of Mixture Theory
  17. 10 Fluid Flow through Porous Media
  18. 11 Linkage of Microscopic and Macroscopic Descriptions of Material Behaviour Via Cellular Averaging
  19. 12 Modelling the Behaviour of Specific Materials: Constitutive Relations and Objectivity
  20. 13 Comments on Non-Local Balance Relations
  21. 14 Elements of Classical Statistical Mechanics
  22. 15 Summary and Suggestions for Further Study
  23. Appendix A: Vectors, Vector Spaces, and Linear Algebra
  24. Appendix B: Calculus in Euclidean Point Space ε
  25. References
  26. Index

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Yes, you can access Physical Foundations of Continuum Mechanics by A. Ian Murdoch in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Fluid Mechanics. We have over 1.5 million books available in our catalogue for you to explore.